What is expand (-1/8+(sqrt(3))/8 x)^2 ?

The solution to expand (-1/8+(sqrt(3))/8 x)^2 is (1+3x^2-2sqrt(3)x)/(64)

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expand (-1/8+(sqrt(3))/8 x)^2

expand

(- \frac{1}{8} + \frac{3}{8} x)^{2}

\frac{1 + 3 x ^{2} - 2 3 x}{64}

Solution steps

(- \frac{1}{8} + \frac{3}{8} x)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(- \frac{1}{8} + \frac{3}{8} x)^{2} = (- \frac{1}{8})^{2} + 2 (- \frac{1}{8}) \frac{3}{8} x + (\frac{3}{8} x)^{2}

= (- \frac{1}{8})^{2} + 2 (- \frac{1}{8}) \frac{3}{8} x + (\frac{3}{8} x)^{2}

Simplify

(- \frac{1}{8})^{2} + 2 (- \frac{1}{8}) \frac{3}{8} x + (\frac{3}{8} x)^{2} : \frac{1 + 3 x ^{2} - 2 3 x}{64}

= \frac{1 + 3 x ^{2} - 2 3 x}{64}

- 2 x ((2 e^{4} x - 2) y ln (3 y) + (e^{4} x + 1) z) y

(\frac{2}{3} x + 1) (\frac{1}{5} x - \frac{1}{4})

t y^{''} (t) + 4 (t - 1) y^{'} (t) + e^{2 t} y

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(s + 1) (1 + \frac{3}{s + 1})

What is expand (-1/8+(sqrt(3))/8 x)^2 ?
The solution to expand (-1/8+(sqrt(3))/8 x)^2 is (1+3x^2-2sqrt(3)x)/(64)